One‐dimensional hybrid simulations of current sheets in the quiet magnetotail

Cargill, P. J.; Chen, J.; Harold, J. B.

doi:10.1029/94gl01693

Cited by 13 publications

(4 citation statements)

References 13 publications

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“…Recently, kinetic studies of the magnetotail current sheet have been extended using ID hybrid simulations [Pritchett and Coroniti, 1993;Cargill et al, 1994]. These simulations use particle ions and treat elec trons as a massless fluid.…”

Section: Time-dependent Simulationsmentioning

confidence: 99%

Particle dynamics, chaos, and order in the magnetotail

Chen¹

1995

Reviews of Geophysics

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where m, e, and c are the mass, electric charge, the speed of light, respectively, and x and z are unit vectors. The form function/(z) is antisymmetric in z with/-* ±1 as z -• ±oo. Here, +z points northward and is normal to the plane of the current sheet. The normal component, B n = B z , is generally assumed to be uniform for simplicity, and E is taken to be in the cross-tail direction, E = E y y.Essentially all the work carried out to date uses uniform E y . For simple onedimensional (ID) magnetic fields with only z-dependence Copyright 1995 by the American Geophysical Union. and By = 0, a uniform E y component can be transformed away in a coordinate system with a transformation velocity ofV x = cE y /B n , the so-called de Hoffman-Teller frame. (We will not consider the B y ^ 0 case.)The above studies focused on a class of relatively sim ple nonadiabatic orbits, sometimes referred to as Speiser or bits. Later studies uncovered different classes of much more complicated orbits [West et al, 1978;Wagner et al, 1979; Lyons, 1984], exhibiting "random" fluctuations in the mag netic moment as particles cross the midplane (z = 0) {Gray and Lee, 1982;Birmingham, 1984]. Subsequently, it was found that the particle motion is nonintegrable, exhibiting "chaos" in the current sheet [Chen and Palmadesso, 1986]. Using the Poincare surface of section technique [e.g., Lichtenberg and Lieberman, 1983], it was found that the phase space of this system can be partitioned into distinct regions corresponding to stochastic, transient, and integrable (regu lar) orbits. This realization provided a unified description of the full nonlinear dynamics of charged-particle motion in the magnetotail (see Chen [1992] for a detailed review). Buchner and Zelenyi [1986] proposed a mapping theory to describe the chaotic motion using jumps A J in the actionJ = (1 /27r) § (dz/dt) dz. The jumps were calculated approx imately [Buchner and Zelenyi, 1989] using an asymptotic matching technique (the so-called slow separatrix crossing theory) [Cary etal, 1986]. Brittnacherand Whipple [1991] obtained a more accurate determination of AJ. Delcourt et al [1994] have suggested that the magnetic moment variation in the "chaotic" regime can be modeled using an impulsive centrifugal force. Note that although the magnetic field is translationally invariant in x and y, the canonical momenta P x and P y cannot be conserved simultaneously in a given gauge.

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Section: Time-dependent Simulationsmentioning

confidence: 99%

Particle dynamics, chaos, and order in the magnetotail

Chen¹

1995

Reviews of Geophysics

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“…Beginning with the works by Eastwood [1972, 1974, 1975], the forced current sheets were discussed largely by means of numerical methods [ Burkhart et al , 1992; Pritchett and Coroniti , 1992b, 1993, 1994, 1995; Holland and Chen , 1993; Burkhart et al , 1993; Cargill et al , 1994; Harold and Chen , 1996; Hesse et al , 1996; Becker et al , 2001]. However, recently, semianalytical construction of the forced current sheet solutions have become available [ Kropotkin and Domrin , 1996; Kropotkin et al , 1997; Sitnov et al , 2000, 2003].…”

Section: Introductionmentioning

confidence: 99%

A class of exact two‐dimensional kinetic current sheet equilibria

Yoon

Lui

2005

J. Geophys. Res.

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1] The present paper discusses a class of exact two-dimensional kinetic current sheet equilibria. The general solution to the two-dimensional Grad-Shafranov equation was first obtained by Walker in 1915 in terms of the generating function g(z) (z = X + iZ), where X and Z are two dimensionless spatial coordinates. There are infinite choices of g(z), but not every solution yields physically meaningful or mathematically useful form. The known solutions to date with geophysical application include those by Harris [1962], Fadeev et al. [1965], Kan [1973], Manankova et al. [2000], and Brittnacher and Whipple [2002]. In this paper, these solutions are reviewed systematically, and several new solutions are proposed. These include a generalization of the Harris-Fadeev-Kan-Manankova line of model, a model for an isolated X-line alternative to that of Brittnacher-Whipple, and finally a model which represents an isolated magnetic island. Citation: Yoon, P. H., and A. T. Y. Lui (2005), A class of exact two-dimensional kinetic current sheet equilibria,

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“…This constant By field is assumed to be caused by the interplanetary nkagnetic field and is different from the mltisynmletric (i.e. an odd fimction of z) By field found in hybrid simulations of the current sheet [Pritchett and Corottin', 1993;Cargill et al 1994]. For antisymmetric By fields of this type the equations of motion retain the rome sy•mnetries as those with By = 0.…”

Section: Introductionmentioning

confidence: 99%

Effects of a constant cross‐tail magnetic field on the particle dynamics in the magnetotail

Holland¹,

Chen²,

Agranov³

1996

J. Geophys. Res.

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The effects of a constant cross‐tail magnetic field By on the phase space structures and the observational signatures of nonlinear particle dynamics in the quiet time magnetotail are examined. The separation of phase space into dynamically distinct regions (transient, stochastic and integrable) is found to persist albeit with considerable complications. In addition, it is shown that if |By| is less than the Bz component, the resonant coherent chaotic scattering of particles and the resulting distribution function features persist. If |By| ≳ Bz, on the other hand, the majority of the particles are forward scattered through the current sheet, and there is no discernible signature of the resonance in the distribution function. This is significant in that the presence or absence of the resonance effect in observed distribution functions can constrain the magnitude of By.

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One‐dimensional hybrid simulations of current sheets in the quiet magnetotail

Cited by 13 publications

References 13 publications

Particle dynamics, chaos, and order in the magnetotail

Particle dynamics, chaos, and order in the magnetotail

A class of exact two‐dimensional kinetic current sheet equilibria

Effects of a constant cross‐tail magnetic field on the particle dynamics in the magnetotail

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